Elliptic curve isogeny class data - 475.c

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• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 1, 0, -1, 0, 0, -2, -3, -3, 0, -4, 0, 2, -2, 0, -1, -4, -3, 1, 0], 'aplist': [1, 0, 0, -2, -4, 2, -4, 1, 6, -6, -4, 10, -10, -2, 6, -10, 0, 2, -8, 4, -4, 4, 18, -2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 475, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '475.c', 'trace_hash': 1893259189855563151}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 7201
    {'lmfdb_iso': '475.c', 'p': 7, 'prec': 20, 'unit': 4222780206206745, 'val': 1}
  • id: 7199
    {'lmfdb_iso': '475.c', 'p': 11, 'prec': 20, 'unit': 6700369847200463217, 'val': 1}
  • id: 7205
    {'lmfdb_iso': '475.c', 'p': 13, 'prec': 20, 'unit': 438123019474845857655, 'val': 1}
  • id: 7207
    {'lmfdb_iso': '475.c', 'p': 17, 'prec': 20, 'unit': 123109804344823364708679, 'val': 1}
  • id: 7211
    {'lmfdb_iso': '475.c', 'p': 23, 'prec': 20, 'unit': 31194612270253489628819429, 'val': 1}
  • id: 7204
    {'lmfdb_iso': '475.c', 'p': 29, 'prec': 20, 'unit': 2443770296527959823492302927, 'val': 1}
  • id: 7216
    {'lmfdb_iso': '475.c', 'p': 31, 'prec': 20, 'unit': 9989339667686795266676676896, 'val': 1}
  • id: 7200
    {'lmfdb_iso': '475.c', 'p': 37, 'prec': 20, 'unit': 42797801955948231808849828367, 'val': 1}
  • id: 7202
    {'lmfdb_iso': '475.c', 'p': 41, 'prec': 20, 'unit': 2715179302048029904083579286072, 'val': 1}
  • id: 7203
    {'lmfdb_iso': '475.c', 'p': 43, 'prec': 20, 'unit': 8727851662285124265395881671000, 'val': 1}
  • id: 7206
    {'lmfdb_iso': '475.c', 'p': 47, 'prec': 20, 'unit': 26411182658700769724286333527846, 'val': 1}
  • id: 7209
    {'lmfdb_iso': '475.c', 'p': 53, 'prec': 20, 'unit': 145353091822158609147064527665129, 'val': 1}
  • id: 7215
    {'lmfdb_iso': '475.c', 'p': 61, 'prec': 20, 'unit': 2680049121687242624164965009066066, 'val': 1}
  • id: 7208
    {'lmfdb_iso': '475.c', 'p': 67, 'prec': 20, 'unit': 17275101801425764007479882082065489, 'val': 1}
  • id: 7213
    {'lmfdb_iso': '475.c', 'p': 71, 'prec': 20, 'unit': 141144826515451852364985460515325939, 'val': 1}
  • id: 7210
    {'lmfdb_iso': '475.c', 'p': 73, 'prec': 20, 'unit': 16647871866347053500338561008243158, 'val': 1}
  • id: 7214
    {'lmfdb_iso': '475.c', 'p': 79, 'prec': 20, 'unit': 302768027148171915465219879817366621, 'val': 1}
  • id: 7198
    {'lmfdb_iso': '475.c', 'p': 83, 'prec': 20, 'unit': 1388154022433118988832194111623086913, 'val': 1}
  • id: 7212
    {'lmfdb_iso': '475.c', 'p': 89, 'prec': 20, 'unit': 5858806350629774031947131244451165981, 'val': 1}
  • id: 7197
    {'lmfdb_iso': '475.c', 'p': 97, 'prec': 20, 'unit': 27100883034534134259237776743707789121, 'val': 1}
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  intrinsic_torsion	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 2101
    {'Ciso': '475b', 'Clabel': '475b2', 'Cnumber': 2, 'abc_quality': 0.8861406626336358, 'absD': 705078125, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [1, -1, 0, -617, 5916], 'analytic_rank': 1, 'bad_primes': [5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 475, 'degree': 160, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.47806070154985672418156461714', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [13312053, 361], 'lmfdb_iso': '475.c', 'lmfdb_label': '475.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -25, 52], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '76.6.0.?', '380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3650710635564117763443501780', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5], [5, 14, 19], [19, 20, 25]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72901773277571855676900488278', 'prec': 107}, 'szpiro_ratio': 5.011770876134966, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2100
    {'Ciso': '475b', 'Clabel': '475b1', 'Cnumber': 1, 'abc_quality': 1.119402634915339, 'absD': 37109375, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [1, -1, 0, 8, 291], 'analytic_rank': 1, 'bad_primes': [5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 475, 'degree': 80, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.13148711126988406947294855642', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [27, 19], 'lmfdb_iso': '475.c', 'lmfdb_label': '475.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 0, 2], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '76.6.0.?', '190.6.0.?', '380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7301421271128235526887003559', 'prec': 100}, 'semistable': False, 'serre_invariants': [[5, 14, 19], [19, 20, 25]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0755913230556912114776209435', 'prec': 103}, 'szpiro_ratio': 4.037320536896273, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}